Properties

Label 30960.bu
Number of curves $1$
Conductor $30960$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bu1")
 
E.isogeny_class()
 

Elliptic curves in class 30960.bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30960.bu1 30960bz1 \([0, 0, 0, -1152, -20304]\) \(-56623104/26875\) \(-80248320000\) \([]\) \(18432\) \(0.79824\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30960.bu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 30960.bu do not have complex multiplication.

Modular form 30960.2.a.bu

sage: E.q_eigenform(10)
 
\(q + q^{5} + 2 q^{7} - q^{11} - q^{13} + 3 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display